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Fiesta28 [93]
3 years ago
7

What is the equation of the line that passes through the point (6, 3) and has a slope of -2?

Mathematics
1 answer:
tekilochka [14]3 years ago
3 0

We know the equation of a line is y=mx+b. We know the slope (m) is -2 and all we need is the intercept (b).

Since we know one point, we can plug in 6 for x and 3 for y (along with -2 for m) in our equation and then solve for b.

3= -2*6 + b

3= -12 + b

15 = b

Since we now know the intercept we can now write our equation:

y= -2x + 15

You might be interested in
Given: Q = 7m + 3n, R = 11 - 2m, S = n + 5, and T = -m - 3n + 8.
murzikaleks [220]

Answer:

The answer is 10m + 7n - 14

Step-by-step explanation:

Q = 7m + 3n

R = 11 - 2m

S = n + 5

T = -m - 3n + 8

[Q - R] + [S - T] is

[ 7m + 3n - (11 - 2m) ] + [ n + 5 - ( - m - 3n+8)]

Solve the terms in the bracket first

That's

( 7m + 3n - 11 + 2m ) + ( n + 5 + m + 3n - 8)

( 9m + 3n - 11 ) + ( m + 4n - 3)

<u>Remove the brackets</u>

That's

9m + 3n - 11 + m + 4n - 3

<u>Group like terms</u>

9m + m + 3n + 4n - 11 - 3

The final answer is

<h3>10m + 7n - 14</h3>

Hope this helps you

4 0
3 years ago
I WILL MARK BRAINLIEST IF YOU ANSWERED NOW!!
Ksivusya [100]
B.likely as probability is 5/6 which is very close to 1
6 0
3 years ago
Read 2 more answers
The sum of three consecutive integers is 126..............
Rasek [7]
The three consecutive integers are: x, (x+1) and (x+2).
We can suggest this equation:
x+(x+1)+(x+2)=126
3x+3=126
3x=126-3
3x=123
x=123/3
x=41

x=41
(x+1)=41+1=42
(x+2)=41+2=43

Answer: the three consecutive integers would be: 41,42 and 43. 
6 0
3 years ago
A movie theater charges $10 and 50 cent per ticket and five dollars per bucket of popcorn.You never buy the popcorn because you
cestrela7 [59]

Answer: Yes


Step-by-step explanation:

Yes it is, your ratio would be 10.50:1

$10.50 spent on every one ticket. if you buy more than one, a fraction would still simplify down to 10.50/1.

if you were to buy the popcorn then no it wouldn't be.

7 0
3 years ago
4.11.1 Practice: Assignment. Please help i will mark brainliest! ​
amm1812

Step-by-step explanation:

x2 + 7x + 12

x2 + 4x + 3x + 12

x(x + 4) + 3( x + 4)

(x + 3) and (x + 4) are the factors

4x2 + 6x + 2

4x2 + 4x + 2x + 2

4x (x + 1) + 2(x + 1)

(x + 1) and (4x + 2) are the factors

5 0
3 years ago
Read 2 more answers
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